Empirical relationship between local scattering function and joint probability density function

The fading process describing the propagation effects caused by scattering between two mobile transceivers shows strong non-stationary properties. For its characterization the local scattering function (LSF) and the instantaneous delay Doppler probability density function (pdf) have been introduced. In this paper, a relation between LSF and the joint pdf is investigated. In previous works, it was conjectured that a proportionality relationship between LSF and pdf might exist, similar to the relationship between the scattering function and the delay Doppler pdf in the wide-sense stationary uncorrelated scattering case. The goal here is to demonstrate this proportionality empirically based on the analysis of channel measurements. Both the LSF and the delay Doppler pdf can be combined in order to create a model for mobile-to-mobile (M2M) channels. The LSF is hereby used to process the measurement data and extract information like the stationarity time. With this information the joint delay Doppler pdf can be used to create a realistic simulation environment of the wireless channel for M2M communication systems.

[1]  D. Shutin,et al.  Delay-Dependent Doppler Probability Density Functions for Vehicle-to-Vehicle Scatter Channels , 2014, IEEE Transactions on Antennas and Propagation.

[2]  G. Matz,et al.  On non-WSSUS wireless fading channels , 2005, IEEE Transactions on Wireless Communications.

[3]  Fredrik Tufvesson,et al.  Path Loss Modeling for Vehicle-to-Vehicle Communications , 2011, IEEE Transactions on Vehicular Technology.

[4]  Fredrik Tufvesson,et al.  The (in-) validity of the WSSUS assumption in vehicular radio channels , 2012, 2012 IEEE 23rd International Symposium on Personal, Indoor and Mobile Radio Communications - (PIMRC).

[5]  Johan Karedal,et al.  Parametrization of the Local Scattering Function Estimator for Vehicular-to-Vehicular Channels , 2009, 2009 IEEE 70th Vehicular Technology Conference Fall.

[6]  D. Slepian.  Prolate spheroidal wave functions, fourier analysis, and uncertainty — V: the discrete case , 1978, The Bell System Technical Journal.

[7]  Monai Krairiksh,et al.  WIRELESS COMMUNICATIONS IN A TREE CANOPY , 2013 .

[8]  Uwe-Carsten Fiebig,et al.  Experimental Verification of the Non-Stationary Statistical Model for V2V Scatter Channels , 2014, 2014 IEEE 80th Vehicular Technology Conference (VTC2014-Fall).

[9]  Fredrik Tufvesson,et al.  Delay and Doppler Spreads of Nonstationary Vehicular Channels for Safety-Relevant Scenarios , 2013, IEEE Transactions on Vehicular Technology.

[10]  Fredrik Tufvesson,et al.  A geometry-based stochastic MIMO model for vehicle-to-vehicle communications , 2009, IEEE Transactions on Wireless Communications.

[11]  Fredrik Tufvesson,et al.  Non-WSSUS vehicular channel characterization in highway and urban scenarios at 5.2GHz using the local scattering function , 2008, 2008 International ITG Workshop on Smart Antennas.